Local Lipschitz numbers and Sobolev spaces

DOI10.1307/mmj/1197056457zbMath1141.46016OpenAlexW2077687217MaRDI QIDQ2470252

Thomas Zürcher

Publication date: 13 February 2008

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mmj/1197056457

zbMATH Keywords

Hausdorff measuremetric measure spaceLipschitz functionNewtonian spaceupper gradientRademacher theoremdifferentiability almost everywhereStepanov theorem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Continuity and differentiation questions (26B05) Hausdorff and packing measures (28A78)

Related Items (3)

Regularity of the inverse of a homeomorphism with finite inner distortion ⋮ Dilatation, pointwise Lipschitz constants, and condition \(N\) on curves ⋮ Sharp differentiability results for the lower local Lipschitz constant and applications to non-embedding

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